Oblique Shock Wave Relations Calculator

Calculate Oblique Shock Wave Properties

Must be > 1 for a shock wave.
Angle of the shock wave relative to the upstream flow. Must be > Mach angle.

Analyze supersonic flow over wedges and other geometries with this comprehensive Oblique Shock Wave Relations Calculator. Input your upstream Mach number, specific heat ratio, and shock angle to instantly compute key downstream flow properties like deflection angle, Mach number, and thermodynamic ratios. Essential for fluid dynamics studies and aerospace engineering.

Formula:

This calculator determines the properties of an oblique shock wave based on the following inputs and outputs:

  • M1: Upstream Mach Number (dimensionless)
  • γ: Specific Heat Ratio (dimensionless, e.g., 1.4 for air)
  • β: Shock Wave Angle (degrees)

And calculates the following:

  • θ: Deflection Angle (degrees)
  • M2: Downstream Mach Number (dimensionless)
  • P2/P1: Pressure Ratio Across Shock (dimensionless)
  • ρ21: Density Ratio Across Shock (dimensionless)
  • T2/T1: Temperature Ratio Across Shock (dimensionless)
  • M1n: Upstream Normal Mach Number (M1 sin(β))
  • M2n: Downstream Normal Mach Number

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